7,921,173

3 × 13 × 197 × 1031

Starting at 7,921,173, the Collatz iteration reaches 1 after 168 steps. The first transition is 23763520; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 197 × 1031

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,442,816

Proper Divisor Sum 3,521,643

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7921171 ← → #7921189

Radix Representation

Decimal	7921173
Binary	11110001101111000010101 (23 bits)
Octal	0o36157025
Hexadecimal	0x78DE15

Divisor Catalog (16)

1 3 13 39 197 591 1,031 2,561 3,093 7,683 13,403 40,209 203,107 609,321 2,640,391 7,921,173

Collatz Trajectory (168 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,921,173 23,763,520 11,881,760 5,940,880 2,970,440 1,485,220 742,610 371,305 1,113,916 556,958 278,479 835,438 417,719 1,253,158 626,579 1,879,738 939,869 2,819,608 1,409,804 704,902 352,451 1,057,354 528,677 1,586,032 793,016 396,508 198,254 99,127 297,382 148,691 446,074 223,037 669,112 334,556 167,278 83,639 250,918 125,459 376,378 188,189 564,568 282,284 141,142 70,571 211,714 105,857 317,572 158,786 79,393 238,180 119,090 59,545 178,636 89,318 44,659 133,978 66,989 200,968 100,484 50,242

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